Finding the Third Proportional to 20,569.50 and 30,800

Step by Step Solution

1. Step 1: Write the proportion equation
   20,569.50 : 30,800 = 30,800 : x
2. Step 2: Convert to fraction form
   20,569.50/30,800 = 30,800/x
3. Step 3: Cross multiply
   20,569.50x = 30,800 × 30,800
4. Step 4: Simplify right side
   20,569.50x = 948,640,000
5. Step 5: Solve for x
   x = 948,640,000/20,569.50
6. Step 6: Final answer
   x = 46,118.77